Quadratic Optimal Control of Fractional Stochastic Differential Equation with Application
Science Journal of Applied Mathematics and Statistics
Volume 4, Issue 4, August 2016, Pages: 147-158
Received: May 4, 2016; Accepted: Jun. 3, 2016; Published: Jul. 23, 2016
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Authors
Sameer Qasim Hasan, College of Education, Almustansryah University, Baghdad, Iraq
Gaeth Ali Salum, College of Education, Almustansryah University, Baghdad, Iraq
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Abstract
The paper is devoted to the study of optimal control of Quadratic Optimal Control of Fractional stochastic differential Equation with application of Economy Mode with different types of fractional stochastic formula (ITO, Stratonovich), By using the Dynkin formula, Hamilton-Jacobi-Bellman (HJB) equation and the inverse HJB equation are derived. Application is given to a stochastic model in economics.
Keywords
Fractional Stochastic Differential Equations, Dynkine Formula, Hamilton-Jacobi-Bellman Equation
To cite this article
Sameer Qasim Hasan, Gaeth Ali Salum, Quadratic Optimal Control of Fractional Stochastic Differential Equation with Application, Science Journal of Applied Mathematics and Statistics. Vol. 4, No. 4, 2016, pp. 147-158. doi: 10.11648/j.sjams.20160404.15
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Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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